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General relations and identities for order statistics from non-independent non-identical variables

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Abstract

Some recurrence relations and identities for order statistics are extended to the most general case where the random variables are assumed to be non-independent non-identically distributed. In addition, some new identities are given. The results can be used to reduce the computations considerably and also to establish some interesting combinatorial identities.

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Author notes

  1. S. M. Bendre

    Present address: Department of Statistics, University of Bombay, Vidyanagari, 400098, Bombay, India

Authors and Affiliations

  1. Department of Mathematics and Statistics, McMaster University, L8S 4K1, Hamilton, Ontario, Canada

    N. Balakrishnan & S. M. Bendre

  2. Department of Mathematics and Statistics, University of Guelph, N1G 2W1, Guelph, Ontario, Canada

    H. J. Malik

Authors
  1. N. Balakrishnan
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  2. S. M. Bendre
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  3. H. J. Malik
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Balakrishnan, N., Bendre, S.M. & Malik, H.J. General relations and identities for order statistics from non-independent non-identical variables. Ann Inst Stat Math 44, 177–183 (1992). https://doi.org/10.1007/BF00048680

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  • DOI: https://doi.org/10.1007/BF00048680

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